The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  1  1  2  2  2  1  1  1  1  2  2  2  1  1  1  1  2  2  2  4  4  4  0  0  0  2  1  1  1  2  1  2  2  2  4  4  4  0  0  0  2  1  2  4  1  1  2  2  2  4  0  4  0  4  4  0
 0  4  0  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  4  4  4  4  0  0  0  0  4  0  4  0  4  4  0  4  4  4  4  0  0  0  0  0  0  4  0  4  0  4  4  0  0  0  4  4
 0  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  0  0  0  4  4  4  4  0  0  0  4  4  0  4  4

generates a code of length 89 over Z8 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+20x^91+2x^92+4x^93+4x^94+1x^96

The gray image is a code over GF(2) with n=356, k=5 and d=182.
This code was found by Heurico 1.16 in 0.273 seconds.